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We propose a process calculus to model high level wireless systems, where the topology of a network is described by a digraph. The calculus enjoys features which are proper of wireless networks, namely broadcast communication and…

Logic in Computer Science · Computer Science 2015-07-01 Andrea Cerone , Matthew Hennessy

It has been shown that it is impossible to achieve both stringent end-to-end deadline and reliability guarantees in a large network without having complete information of all future packet arrivals. In order to maintain desirable…

Performance · Computer Science 2017-04-18 Han Deng , I-Hong Hou

Our goal is to analyze performance of stable linear dynamical networks subject to external stochastic disturbances. The square of the $\mathcal H_2$-norm of the network is used as a performance measure to quantify the expected steady-state…

Systems and Control · Computer Science 2015-02-04 Milad Siami , Nader Motee

Networks are integral parts of modern safety-critical systems and certification demands the provision of guarantees for data transmissions. Deterministic Network Calculus (DNC) can compute a worst-case bound on a data flow's end-to-end…

Networking and Internet Architecture · Computer Science 2017-05-17 Steffen Bondorf , Paul Nikolaus , Jens B. Schmitt

The question of what can be computed, and how efficiently, are at the core of computer science. Not surprisingly, in distributed systems and networking research, an equally fundamental question is what can be computed in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-01 Fabian Kuhn , Thomas Moscibroda , Roger Wattenhofer

Ensuring the conformance of a service system's end-to-end delay to service level agreement (SLA) constraints is a challenging task that requires statistical measures beyond the average delay. In this paper, we study the real-time prediction…

Performance · Computer Science 2020-07-01 Majid Raeis , Ali Tizghadam , Alberto Leon-Garcia

We develop a new metric for quantifying end-to-end throughput in multihop wireless networks, which we term random access transport capacity, since the interference model presumes uncoordinated transmissions. The metric quantifies the…

Information Theory · Computer Science 2016-11-18 Jeffrey G. Andrews , Steven Weber , Marios Kountouris , Martin Haenggi

Network calculus is often used to prove delay bounds in deterministic networks, using arrival and service curves. We consider a FIFO system that offers a rate-latency service curve and where packet transmission occurs at line rate without…

Networking and Internet Architecture · Computer Science 2020-08-10 Ehsan Mohammadpour , Elena Stai , Jean-Yves Le Boudec

We propose a graph-based process calculus for modeling and reasoning about wireless networks with local broadcasts. Graphs are used at syntactical level to describe the topological structures of networks. This calculus is equipped with a…

Logic in Computer Science · Computer Science 2017-06-19 Shichao Liu , Ying Jiang

Spatial networks are a powerful framework for studying a large variety of systems belonging to a broad diversity of contexts: from transportation to biology, from epidemiology to communications, and migrations, to cite a few. Spatial…

Physics and Society · Physics 2020-04-08 Ignacio Morer , Alessio Cardillo , Albert Diaz-Guilera , Luce Prignano , Sergi Lozano

High throughput is of particular interest in data center and HPC networks. Although myriad network topologies have been proposed, a broad head-to-head comparison across topologies and across traffic patterns is absent, and the right way to…

Networking and Internet Architecture · Computer Science 2016-11-16 Sangeetha Abdu Jyothi , Ankit Singla , P. Brighten Godfrey , Alexandra Kolla

Capacity scaling laws are analyzed in an underwater acoustic network with $n$ regularly located nodes on a square. A narrow-band model is assumed where the carrier frequency is allowed to scale as a function of $n$. In the network, we…

Information Theory · Computer Science 2010-05-10 Won-Yong Shin , Daniel E. Lucani , Muriel Medard , Milica Stojanovic , Vahid Tarokh

Capacity scaling of a large hybrid network with unit node density, consisting of $n$ wireless ad hoc nodes, base stations (BSs) equipped with multiple antennas, and one remote central processor (RCP), is analyzed when wired backhaul links…

Information Theory · Computer Science 2014-07-29 Cheol Jeong , Won-Yong Shin

We compute the stationary in-degree probability, $P_{in}(k)$, for a growing network model with directed edges and arbitrary out-degree probability. In particular, under preferential linking, we find that if the nodes have a light tail…

Physics and Society · Physics 2008-10-21 Daniel Fraiman

For a widely used hub-and-spoke closed product-form network consisting of an infinite-server node and several single-server queues, we characterize the maximum queue-length distribution in various operational regimes by leveraging a novel…

Probability · Mathematics 2025-12-09 Predrag Jelenkovic , Petar Momcilovic

In this article we present an algorithm to compute bounds on the marginals of a graphical model. For several small clusters of nodes upper and lower bounds on the marginal values are computed independently of the rest of the network. The…

Artificial Intelligence · Computer Science 2011-06-27 B. Kappen , M. Leisink

In this paper, we propose a new spectral-based approach to hypothesis testing for populations of networks. The primary goal is to develop a test to determine whether two given samples of networks come from the same random model or…

Methodology · Statistics 2020-11-26 Li Chen , Nathaniel Josephs , Lizhen Lin , Jie Zhou , Eric D. Kolaczyk

The stochastic network calculus (SNC) holds promise as a versatile and uniform framework to calculate probabilistic performance bounds in networks of queues. A great challenge to accurate bounds and efficient calculations are stochastic…

Performance · Computer Science 2022-06-22 Anne Bouillard , Paul Nikolaus , Jens Schmitt

We analyze a distributed information network in which each node has access to the information contained in a limited set of nodes (its neighborhood) at a given time. A collective computation is carried out in which each node calculates a…

Social and Information Networks · Computer Science 2014-04-18 Antonio Córdoba , Daniel Aguilar-Hidalgo , M. Carmen Lemos

The practicality of the stochastic network calculus (SNC) is often questioned on grounds of potential looseness of its performance bounds. In this paper it is uncovered that for bursty arrival processes (specifically Markov-Modulated On-Off…

Performance · Computer Science 2013-07-23 Florin Ciucu , Felix Poloczek , Jens Schmitt